# Polynomial extra -3

Another additional question for the polynomial sprinters.

If $$p(x)$$ is a polynomial with integer co-efficients and a,b and c are three distinct integers,then show that it is impossible to have $$p(a) = b$$,$$p(b) = c$$ and $$p(c) = a$$.

4 years ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

This is in the book by Arthur Engel :D

- 4 years ago

Oh...sorry...you're right............I actually had these copied in a notebook and hencd didn't underStAND

- 4 years ago

This is also a USAMO problem.

- 4 years ago

×